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2020-05.pdf | 1.08 MB | Adobe PDF | 見る/開く |
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dc.contributor.author | Ichinobe, Kunio | en |
dc.contributor.alternative | 市延, 邦夫 | ja |
dc.contributor.transcription | イチノベ, クニオ | - |
dc.date.accessioned | 2018-06-11T02:38:59Z | - |
dc.date.available | 2018-06-11T02:38:59Z | - |
dc.date.issued | 2017-04 | - |
dc.identifier.issn | 1880-2818 | - |
dc.identifier.uri | http://hdl.handle.net/2433/231737 | - |
dc.description.abstract | We study the k-summability of divergent formal solutions to the Cauchy problem of certain linear partial differential operators of the first order with respect to t whose coefficients are polynomial in t. In order to prove the k-summability of divergent solutions, we employ the method of successive approximation for a construction of divergent solutions and the analysis of convolution equations associated with divergent solutions. We give a proof of the existence and uniqueness of local holomorphic solutions for the convolution equations. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.subject | 35C10 | en |
dc.subject | 35.02 | en |
dc.subject | k-summability | en |
dc.subject | power series solutions | en |
dc.subject | successive approximation | en |
dc.subject.ndc | 410 | - |
dc.title | k-summability of formal solutions for certain partial differential equations and the method of successive approximation (Algebraic analytic methods in complex partial differential equations) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2020 | - |
dc.identifier.spage | 35 | - |
dc.identifier.epage | 49 | - |
dc.textversion | publisher | - |
dc.sortkey | 05 | - |
dc.address | Aichi University of Education | en |
dc.address.alternative | 愛知教育大学 | ja |
dcterms.accessRights | open access | - |
datacite.awardNumber | 15K04898 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | 2020 Algebraic analytic methods in complex partial differential equations |
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